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There are two approaches which can be taken when solving this equation. The first is using the quadratic equation. By comparing the coefficients of the example to the general quadratic equation, a(x^2)+b(...

This question is asking for a complete the square method. This is where you take the coefficient of x (the number before x, so 3 here) and divide it by two, this gives you b in the new form. However, upon...

When a number is raised to the power of a fraction, it is the same as rooting that number to the denominator (the number on the bottom). So if the number is raised to ½ it is the same as √ and if it is ra...

First, we need to look for a pattern. What are we needing to do to get from one number to the next? As you can see, we are multiplying each number by two to get the next number. 8 multiplied by 2 is 16, a...

This problem tests two key sub-topics in calculus, kinematics and the chain rule. Firstly, you must realise that the derivative of a velocity function will give you the acceleration function. So by findin...